Pith. sign in
Pith Number

pith:6XRQMM33

pith:2025:6XRQMM33REGI3VP2HYRNYPB7AN
not attested not anchored not stored refs pending

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions

Habib Ammari, Jiayu Qiu

arxiv:2509.04184 v1 · 2025-09-04 · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6XRQMM33REGI3VP2HYRNYPB7AN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Receipt and verification
First computed 2026-07-05T12:04:54.930869Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f5e306337b890c8dd5fa3e22dc3c3f0353ed58640e7f15c89936ab0789ea638c

Aliases

arxiv: 2509.04184 · arxiv_version: 2509.04184v1 · doi: 10.48550/arxiv.2509.04184 · pith_short_12: 6XRQMM33REGI · pith_short_16: 6XRQMM33REGI3VP2 · pith_short_8: 6XRQMM33
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6XRQMM33REGI3VP2HYRNYPB7AN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f5e306337b890c8dd5fa3e22dc3c3f0353ed58640e7f15c89936ab0789ea638c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "05bea58daebd341b44e8a6caeb5355fd6f342a606dd0ff760ca543e6929d9c23",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-09-04T13:00:14Z",
    "title_canon_sha256": "7aba758413b76bb04ee7e23314ae7771b862165cf8c01907396f84c0caacd739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04184",
    "kind": "arxiv",
    "version": 1
  }
}